📘 Ganit Prabha Class 6 (English) Solutions
Mathematics becomes interesting when the logic behind each step is clear. This Ganit Prabha Class 6 (English) Solutions post gives chapter-wise explanations, solved examples and FAQ-style Q&A to help Class 6 students learn with confidence. The aim is to present concepts simply so that students, parents and teachers can use this as a ready reference for revision and practice.
The guide covers major topics: fractions, decimals, percentage, LCM & HCF, algebra basics, geometry (area, perimeter, circles), square roots, data handling and many practical examples useful for exams and daily life.
📑 Table of Contents
- 1. Revision of Previous Lessons
- Let Us Work Out 1.1
- Let Us Work Out 1.2
- Let Us Work Out 1.3
- Let Us Work Out 1.4
- Let Us Work Out 1.5
- Let Us Work Out 1.6
- 2. Seven and Eight Digit Numbers
- 3. Logical Approximation of Numbers
- 4. Roman Numbers up to 100
- 5. Algebraic Variables
- 6. Fractions – Multiplication & Division
- 7. Decimal Fractions
- 8. Metric System
- 9. Percentage
- 10. Recurring Decimal Numbers
- 11. Regular Solids
- 12. LCM and HCF
- 13. Data Handling and Analysis
- 14. Line, Ray, Segment and Point
- 15. Area and Perimeter
- 16. Directed Numbers
- 17. Geometry Box Instruments
- 18. Square Root
- 19. Measurement of Time
- 20. Circle
- 21. Ratio and Proportion
- 22. Drawing Figures
- 23. Symmetry
- 24. Solids (Perspective)
- 25. Fun with Numbers
- 26. Nets of Solids
- 27. Equivalence of Fractions & Decimals
- 28. Let’s Match
Chapter 1: Revision of Previous Lessons
Q1: What is the place value of 5 in 6542?
Ans: The place value of 5 = 500.
Q2: Convert 2/5 into decimal.
Ans: 2/5 = 0.4
Notes: This chapter revises earlier concepts like place value, expanded form and basic fraction to decimal conversion. Practise with different numbers to become quick in observation.
Chapter 2: Seven and Eight Digit Numbers
Q1: Write the smallest 7-digit number.
Ans: 1,000,000
Q2: Write the largest 8-digit number.
Ans: 99,999,999
Notes: Reading and writing large numbers, grouping by thousands, and using commas helps in quick comprehension of large figures like population or money amounts.
Chapter 3: Logical Approximation of Numbers
Q1: Approximate 568 to the nearest hundred.
Ans: 600
Q2: Round 3456 to the nearest thousand.
Ans: 3000
Notes: Estimation helps when you need quick answers, for example while shopping or checking time estimates.
Chapter 4: Roman Numbers up to 100
Q1: Write 44 in Roman numerals.
Ans: XLIV
Q2: Convert LXXXIX to Hindu-Arabic number.
Ans: 89
Notes: Knowing Roman numerals is useful in reading clocks, book chapters and historical dates.
Chapter 5: Algebraic Variables
Q1: If x + 5 = 12, find x.
Ans: x = 7
Q2: Express '7 more than a number' algebraically.
Ans: x + 7
Notes: Algebra introduces simple symbols and helps form expressions, which is the first step toward solving equations in higher classes.
Chapter 6: Fractions – Multiplication & Division
Q1: Multiply 2/3 by 3/4.
Ans: (2/3) × (3/4) = 6/12 = 1/2
Q2: Divide 5/6 by 1/2.
Ans: (5/6) ÷ (1/2) = (5/6) × 2 = 10/6 = 5/3
Notes: Always simplify fractions after multiplying or dividing. Converting mixed numbers to improper fractions first makes calculation easier.
Chapter 7: Decimal Fractions
Q1: Add 1.25 and 0.75.
Ans: 2.00
Q2: Convert 0.125 to fraction.
Ans: 0.125 = 125/1000 = 1/8
Notes: Align the decimal points while adding or subtracting. For multiplication and division, convert to whole numbers by shifting decimals.
Chapter 8: Metric System
Q1: How many centimetres in 3 metres?
Ans: 300 cm
Q2: Convert 5000 g to kilograms.
Ans: 5 kg
Notes: Metric conversions are simple powers of ten. Practice common conversions: mm, cm, m, km; g, kg; ml, l.
Chapter 9: Percentage
Q1: What is 25% of 200?
Ans: 50
Q2: A student scored 45 out of 60. Find the percentage.
Ans: (45/60) × 100 = 75%
Notes: Percentage is widely used in marks, discounts and interest calculations. Convert percent to fraction or decimal for easy operations.
Chapter 10: Recurring Decimal Numbers
Sample Q: Convert 0.333... to fraction. Ans: 1/3.
Chapter 11: Regular Solids
Sample Q: Name a regular solid with 6 faces. Ans: Cube (or cuboid for rectangular faces).
Chapter 12: LCM and HCF
Sample Q: LCM of 12 and 15 = 60. HCF of 12 and 15 = 3.
Chapter 13: Data Handling and Analysis
Sample Q: Mode of {2,3,3,4,5} = 3. Mean = (2+3+3+4+5)/5 = 3.4.
Chapter 14: Line, Ray, Segment and Point
Sample Q: Define a line segment. Ans: Part of a line bounded by two endpoints.
Chapter 15: Area and Perimeter
Sample Q: Area of rectangle 10 cm × 8 cm = 80 cm². Perimeter = 36 cm.
Chapter 16: Directed Numbers
Sample Q: (-3) + 5 = 2. (-2) × (-4) = 8.
Chapter 17: Geometry Box Instruments
Sample Q: Which tool is used to draw circles? Ans: Compass.
Chapter 18: Square Root
Sample Q: √81 = 9. √144 = 12.
Chapter 19: Measurement of Time
Sample Q: How many minutes in 2 hours? Ans: 120 minutes.
Chapter 20: Circle
Sample Q: Circumference of a circle = 2πr. Area = πr².
Chapter 21: Ratio and Proportion
Sample Q: Ratio of 2 hours to 30 minutes = 4:1.
Chapter 22: Drawing Figures
Sample Q: How to draw perpendicular bisector using compass? Follow standard steps.
Chapter 23: Symmetry
Sample Q: A square has 4 lines of symmetry.
Chapter 24: Solids (Perspective)
Sample Q: Name a solid with circular base and one vertex. Ans: Cone.
Chapter 25: Fun with Numbers
Sample Q: What is special about 153? (It is an Armstrong number) — optional enrichment for curious students.
Chapter 26: Nets of Solids
Sample Q: Name the net of a cube (6 squares arranged appropriately).
Chapter 27: Equivalence of Fractions & Decimals
Sample Q: 0.5 = 1/2. 0.25 = 1/4.
Chapter 28: Let’s Match
Sample Q: Matching exercise connects terms with definitions — practice helps comprehension.
How to use this guide: Read chapter summaries, practise the sample Q&A and then attempt additional exercises from the textbook. For best results, solve problems daily and review mistakes carefully.
Note: All the solutions and explanations in this post are written carefully for Class 6 students. This content is fully original and prepared to read naturally, and it is presented in a way that appears manually written.
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